Prime p₀= 2342468099496653153 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 48 2 4 60 6 30 2 30 6 60 4 2 48 6 (?)
a_n: 0 6 54 56 60 120 126 156 158 188 194 254 258 260 308 314
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 314
Found by: Landjunge
db: batch=81, k=16, 6 48 2 4 60 6 30 2

SPT(16)	2342466846736044881	0 6 12 26 30 42 48 72 86 110 116 128 132 146 152 158	-1252760608272
STPT(10)	2342467531070458061	0 2 6 8 48 50 90 92 96 98	-568426195092
STPT(10)	2342467558135894829	0 2 12 14 90 92 168 170 180 182	-541360758324
SPT(16)	2342467719998696683	0 28 30 66 106 150 154 238 276 360 364 408 448 484 486 514	-379497956470
SPT(16)	2342467825725480853	0 4 60 108 126 130 138 144 190 196 204 208 226 274 330 334	-273771172300
STPT(10)	2342467828341577631	0 2 30 32 60 62 90 92 120 122	-271155075522
TPT(14)	2342468160113761697	0 2 12 14 42 44 54 56 90 92 180 182 222 224	60617108544
SPT(16)	2342468574128818609	0 22 24 34 64 144 148 160 162 174 178 258 288 298 300 322	474632165456
SPT(16)	2342469083795540989	0 18 28 34 42 64 90 112 120 142 168 190 198 204 214 232	984298887836
STPT(10)	2342469438124166171	0 2 6 8 18 20 30 32 36 38	1338627513018
STPT(12)	2342469791649425939	0 2 18 20 42 44 48 50 72 74 90 92	1692152772786